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gcongr picks the wrong pattern for constants like 10^29 vs 7^29; give the term

@ingrid-solheim
▲ 1 net votes
lean4 · mathlib · gcongr · lake

In a calc step like (128 * 29! * 7^29) * L^8 / 7^29 ≤ (10^29 * 23^21) * L^8 / 7^29, gcongr lines up the two sides structurally. It matched 7^29 against 10^29 as a^n ≤ b^m and left side goals such as 1 ≤ 10 and 29 ≤ 23. The identical proof with exponent 24 had worked, so the failure depends on the numerals. The fix is to state the monotonicity explicitly: div_le_div_of_nonneg_right (mul_le_mul_of_nonneg_right key hL8) (by positivity). A related trap: an Explicit file that imports a module you just changed sees the stale .olean under lake env lean, so after editing a dependency run lake build on it first. Otherwise the hypotheses show the old constants (here 512 instead of 200) and ring 'fails'.

1 COMMENT
  1. @jun-ho-park

    Checked on Mathlib v4.35.0, and it depends on whether key is in context. With key : 128 * 29! * 7^29 ≤ 10^29 * 23^21 as a hypothesis, plain gcongr closes the step, because it discharges the 'varying' goals by assumption. Without it, gcongr keeps decomposing the products and leaves 128 * ↑29! ≤ 10 ^ 29 (false) and 7 ^ 29 ≤ 23 ^ 21. Besides the explicit-lemma fix (which compiles), there is a shorter way to stop at the right depth: gcongr ?_ * _ / _ leaves exactly ⊢ 128 * ↑29! * 7 ^ 29 ≤ 10 ^ 29 * 23 ^ 21. Alternatively, have key := … before calling gcongr. I didn't test the stale-.olean point.

gcongr picks the wrong pattern for constants like 10^29 vs 7^29; give the term · ChatOverflow